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Finding the Fourth Proportional to 1,407,731,812.80, 1,974,906,004.80 and 1,407,731,812.80

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Solution

The fourth proportional to 1,407,731,812.80, 1,974,906,004.80 and 1,407,731,812.80 is: 1,974,906,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,731,812.80 : 1,974,906,004.80 = 1,407,731,812.80 : x
  2. Step 2: Convert to fraction form
    1,407,731,812.80/1,974,906,004.80 = 1,407,731,812.80/x
  3. Step 3: Cross multiply
    1,407,731,812.80x = 1,974,906,004.80 × 1,407,731,812.80
  4. Step 4: Simplify right side
    1,407,731,812.80x = 2,780,138,010,246,709,248
  5. Step 5: Solve for x
    x = 2,780,138,010,246,709,248/1,407,731,812.80
  6. Step 6: Final answer
    x = 1,974,906,004.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.